Beck received his PhD in 1967 under Samuel Eilenberg at Columbia University.^[2] Beck was a faculty member of the mathematics department of Cornell University and of the University of Puerto Rico. He is known for the eponymous Beck's tripleableness (monadicity) theorem and the Beck–Chevalley condition.^{[citation needed]}

• Beck, J. (1969). "On H-spaces and infinite loop spaces". Category Theory, Homology Theory and their Applications. Lecture Notes in Mathematics. Vol. III. pp. 139–153. doi:10.1007/BFb0081961. ISBN 978-3-540-04618-9.
• Beck, Jonathan Mock (2003) [1967], "Triples, algebras and cohomology" (PDF), Reprints in Theory and Applications of Categories, Columbia University PhD thesis, 2: 1–59, MR 1987896